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densk [106]
3 years ago
10

What is the best way to classify each equation?

Mathematics
1 answer:
MrRa [10]3 years ago
8 0
<span>5x-20=2(3x-10)=6x-20, eqivalent to 5x-20=6x-20, it s a contradicion; a 2. 4x - 16 - 2x = 2(x - 8), for this 4x - 16 - 2x =4x-2x-16=2x-16, and 2(x-8)=2x-16, so 4x - 16 - 2x = 2(x - 8) is a identity 3. For the case of 6x - 15 = 3(2x - 6)=6x-16, we have 6x - 15 = 6x-16 it is contradiction 4. 5x - 3(x - 4) = 2(x - 6), we know that 5x - 3(x - 4) =5x -3x+12=2x+12, and 2(x-6)=2x-12, so we have 2x+12=2x-12. That is also a cotradiction, finally we have 1.B, 2.A, 3.B, 4.B</span>
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Answer:

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Step-by-step explanation:

A parameter is a measure of a population.  The number of warplanes fielded total is N; this makes it the population.  Thus N is a parameter.

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12.5%

Step-by-step explanation:

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Tim goes in a car journey. for the first 15 minutes his average speed is 40mph. he then stops for 25 minutes. he then completes
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2 years ago
Suppose that the trace of a 2×2 matrix a is tr(a)=15 and the determinant is det(a)=50. find the eigenvalues of
IrinaK [193]
Recall that the characteristic polynomial of a 2x2 matrix \mathbf A=\begin{bmatrix}a&b\\c&d\end{bmatrix} is

\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}a-\lambda&b\\c&d-\lambda\end{vmatrix}=(a-\lambda)(d-\lambda)-bc=\lambda^2-(a+d)\lambda+(ad-bc)

but \det(\mathbf A)=ad-bc and \mathrm{tr}(\mathbf A)=a+d, so the characteristic polynomial for \mathbf A is

\lambda^2-\mathrm{tr}(\mathbf A)\lambda+\det(\mathbf A)

We're given that the trace is 15 and determinant is 50, so the characteristic polynomial for the matrix in question is

\lambda^2-15\lambda+50

and the eigenvalues are those \lambda for which the characteristic polynomial evaluates to 0.

\lambda^2-15\lambda+50=(\lambda-5)(\lambda-10)=0\implies\lambda=5,\lambda=10
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